Árpád Baricz, Saminathan Ponnusamy, Sanjeev Singh
Published 2014-01-07Version 1
Some Tur\'an type inequalities for Struve functions of the first kind are deduced by using various methods developed in the case of Bessel functions of the first and second kind. New formulas, like Mittag-Leffler expansion, infinite product representation for Struve functions of the first kind, are obtained, which may be of independent interest. Moreover, some complete monotonicity results and functional inequalities are deduced for Struve functions of the second kind. These results complement naturally the known results for a particular case of Lommel functions of the first kind, and for modified Struve functions of the first and second kind.
Turán type inequalities for confluent hypergeometric functions of the second kind
On an identity for zeros of Bessel functions
On Turán type inequalities for modified Bessel functions
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